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2133190016 = 27232932473
BaseRepresentation
bin111111100100101…
…1110010110000000
312111122222021120122
41333021132112000
513332044040031
6551401355412
7103601546606
oct17711362600
95448867518
102133190016
119a5148261
124b6498b68
1327cc3bb19
14163449876
15c742147b
hex7f25e580

2133190016 has 64 divisors (see below), whose sum is σ = 4451418720. Its totient is φ = 1016328192.

The previous prime is 2133190009. The next prime is 2133190027. The reversal of 2133190016 is 6100913312.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 861356 + ... + 863828.

Almost surely, 22133190016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133190016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2225709360).

2133190016 is an abundant number, since it is smaller than the sum of its proper divisors (2318228704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2133190016 is a wasteful number, since it uses less digits than its factorization.

2133190016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2803 (or 2791 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 2133190016 is about 46186.4700534691. The cubic root of 2133190016 is about 1287.2903514611.

The spelling of 2133190016 in words is "two billion, one hundred thirty-three million, one hundred ninety thousand, sixteen".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 293 368 586 736 1172 1472 2344 2473 2944 4688 4946 6739 9376 9892 13478 18752 19784 26956 37504 39568 53912 56879 79136 107824 113758 158272 215648 227516 316544 431296 455032 724589 862592 910064 1449178 1820128 2898356 3640256 5796712 7280512 11593424 16665547 23186848 33331094 46373696 66662188 92747392 133324376 266648752 533297504 1066595008 2133190016